Search a number
-
+
42423040 = 2851123131
BaseRepresentation
bin1010000111010…
…1001100000000
32221211022110201
42201311030000
541330014130
64113134544
71023406222
oct241651400
987738421
1042423040
1121a46070
121225a454
138a346ba
1458c4412
153acebca
hex2875300

42423040 has 144 divisors (see below), whose sum is σ = 116557056. Its totient is φ = 14643200.

The previous prime is 42423011. The next prime is 42423049. The reversal of 42423040 is 4032424.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42422999 and 42423017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323775 + ... + 323905.

It is an arithmetic number, because the mean of its divisors is an integer number (809424).

Almost surely, 242423040 is an apocalyptic number.

42423040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58278528).

42423040 is an abundant number, since it is smaller than the sum of its proper divisors (74134016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42423040 is a wasteful number, since it uses less digits than its factorization.

42423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 42423040 is about 6513.2971681016. The cubic root of 42423040 is about 348.7658300561.

Adding to 42423040 its reverse (4032424), we get a palindrome (46455464).

The spelling of 42423040 in words is "forty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 131 160 176 184 220 230 253 256 262 320 352 368 440 460 506 524 640 655 704 736 880 920 1012 1048 1265 1280 1310 1408 1441 1472 1760 1840 2024 2096 2530 2620 2816 2882 2944 3013 3520 3680 4048 4192 5060 5240 5764 5888 6026 7040 7205 7360 8096 8384 10120 10480 11528 12052 14080 14410 14720 15065 16192 16768 20240 20960 23056 24104 28820 29440 30130 32384 33143 33536 40480 41920 46112 48208 57640 60260 64768 66286 80960 83840 92224 96416 115280 120520 132572 161920 165715 167680 184448 192832 230560 241040 265144 323840 331430 368896 385664 461120 482080 530288 662860 771328 922240 964160 1060576 1325720 1844480 1928320 2121152 2651440 3856640 4242304 5302880 8484608 10605760 21211520 42423040